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\frac{d^2}{dx^2}\left(\sin\left(x^3+y^5\right)\right)

Find the higher order derivative of sin(x^3+y^5)

Answer

$6x\cos\left(y^5+x^3\right)-9x^{4}\sin\left(y^5+x^3\right)$

Step-by-step explanation

Problem

$\frac{d^2}{dx^2}\left(\sin\left(x^3+y^5\right)\right)$
1

Rewriting the high order derivative

$\frac{d}{dx}\left(\frac{d}{dx}\left(\sin\left(y^5+x^3\right)\right)\right)$

Unlock this step-by-step solution!

Answer

$6x\cos\left(y^5+x^3\right)-9x^{4}\sin\left(y^5+x^3\right)$
$\frac{d^2}{dx^2}\left(\sin\left(x^3+y^5\right)\right)$

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 0.42 seconds